Pell and Pell-Lucas numbers, like the well-known Fibonacci and Catalan
numbers, continue to intrigue the mathematical world with their beauty
and applicability. They offer opportunities for experimentation,
exploration, conjecture, and problem-solving techniques, connecting the
fields of analysis, geometry, trigonometry, and various areas of
discrete mathematics, number theory, graph theory, linear algebra, and
combinatorics. Pell and Pell-Lucas numbers belong to an extended
Fibonacci family as a powerful tool for extracting numerous interesting
properties of a vast array of number sequences.
A key feature of this work is the historical flavor that is interwoven
into the extensive and in-depth coverage of the subject. An interesting
array of applications to combinatorics, graph theory, geometry, and
intriguing mathematical puzzles is another highlight engaging the
reader. The exposition is user-friendly, yet rigorous, so that a broad
audience consisting of students, math teachers and instructors, computer
scientists and other professionals, along with the mathematically
curious will all benefit from this book.
Finally, Pell and Pell-Lucas Numbers provides enjoyment and excitement
while sharpening the reader's mathematical skills involving pattern
recognition, proof-and-problem-solving techniques.